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   &#160;<span id="projectnumber">v0.051</span>
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   <div id="projectbrief">c++ math library</div>
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<div class="title">circle.cpp</div>  </div>
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<a href="circle_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;﻿ </div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;</div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="__gbmath_8h.html" title="MAIN INCLUDE HEADER. ">_gbmath.h</a>&quot;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;</div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160; </div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span>gbmath</div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;{</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno"><a class="code" href="classgbmath_1_1_circle.html#a0315bf94505dcc00025517b95fae8b95">   10</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classgbmath_1_1_circle.html#a0315bf94505dcc00025517b95fae8b95" title="Verification of the point. ">Circle::checkContainPoint</a>(<span class="keyword">const</span>  <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a> <a class="code" href="structgbmath_1_1point.html" title="simple point (integer). ">point</a>)</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;{</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keywordtype">float</span> fDist;</div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    {  </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a> t(<a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a> - point); </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        fDist = t.<a class="code" href="structgbmath_1_1vec2.html#ad10ab8c50698625b709e3ff00bf4d6c2">length</a>();  </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    }</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keywordflow">if</span>( fDist &gt; <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> )</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;}</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno"><a class="code" href="classgbmath_1_1_circle.html#ac200fe4bdd180822ae684b6377a6786c">   26</a></span>&#160;<a class="code" href="classgbmath_1_1_rect.html" title="Rectangle on the minimum and maximum coordinate. ">Rect</a> <a class="code" href="classgbmath_1_1_circle.html#ac200fe4bdd180822ae684b6377a6786c">Circle::to_rec_outside</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classgbmath_1_1_rect.html" title="Rectangle on the minimum and maximum coordinate. ">Rect</a> ( </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>( <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a> - <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a>  )  , </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>( <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a> + <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a>  ) </div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        );</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;}</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno"><a class="code" href="classgbmath_1_1_circle.html#a396979d16c541985877fe4b0ae4fb439">   34</a></span>&#160;<a class="code" href="classgbmath_1_1_rect.html" title="Rectangle on the minimum and maximum coordinate. ">Rect</a> <a class="code" href="classgbmath_1_1_circle.html#a396979d16c541985877fe4b0ae4fb439">Circle::to_rec_inside</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">float</span> SINPIF = sin(<a class="code" href="namespacegbmath.html#a43466f850581872f732373ec59ea473b" title="PI. ">PI</a> * 0.25f);</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keywordtype">float</span> k = SINPIF * <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a>;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classgbmath_1_1_rect.html" title="Rectangle on the minimum and maximum coordinate. ">Rect</a> ( </div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>( <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a> - k  )  ,</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>( <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a> + k  ) </div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        );</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;}</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="code" href="classgbmath_1_1_circle.html#a861242efd358f70c1457502f28824b05">   46</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classgbmath_1_1_circle.html#a861242efd358f70c1457502f28824b05">Circle::IsContactCircles</a>( <span class="keyword">const</span> <a class="code" href="classgbmath_1_1_circle.html" title="circle in two-dimensional space ">Circle</a>&amp; c2, <span class="keywordtype">bool</span>&amp; containFully )</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;{</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    containFully = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> dr = <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>.<a class="code" href="structgbmath_1_1vec2.html#ab0f42556480a7a32389428b4076ea95f">distance</a>(c2.<a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>);</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keywordflow">if</span>( dr &lt;<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> + c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> )</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    {</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="comment">// true contact</span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">if</span>( <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> &lt;= c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> )</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        {</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <span class="comment">// c1 &lt; c2</span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            <span class="keywordflow">if</span>( dr &lt; (c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> + <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> - <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a>*2.0f ) )</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            {</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                containFully = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        }</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        {</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <span class="comment">// c2 &lt; c1</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            <span class="keywordflow">if</span>( dr &lt; (<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> + c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> - c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> * 2.0f ) )</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            {</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                containFully = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            }</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        }</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span>(containFully)</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        {</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        }</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;}</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
<div class="line"><a name="l00089"></a><span class="lineno"><a class="code" href="classgbmath_1_1_circle.html#a46c65034f5d1914b0569d257c410580c">   89</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="classgbmath_1_1_circle.html#a46c65034f5d1914b0569d257c410580c">Circle::IsContactCirclesWithContactPoints</a>(  <span class="keyword">const</span> <a class="code" href="classgbmath_1_1_circle.html" title="circle in two-dimensional space ">Circle</a>&amp; c2, <span class="keywordtype">bool</span>&amp; containFully, <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>&amp; pContact1, <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>&amp; pContact2 )</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;{</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    containFully = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    pContact1 = <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>();</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    pContact2 = <a class="code" href="structgbmath_1_1vec2.html" title="2d-base vector. Corrected by operators epislon ">vec2</a>();</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keywordtype">float</span> dist =  <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>.<a class="code" href="structgbmath_1_1vec2.html#ab0f42556480a7a32389428b4076ea95f">distance</a>(c2.<a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>);</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <span class="keywordflow">if</span>(  <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> &lt;= c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> )</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    {</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="comment">// c1 &lt; c2</span></div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span>( dist &lt; (c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> + <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> - <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> * 2.0f ) )</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        {</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            containFully = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        }</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    }</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    {</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// c2 &lt; c1</span></div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">if</span>( dist &lt; (<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> + c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a> - c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a>*2.0f ) )</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        {</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            containFully = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        }</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    }</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keywordflow">if</span>(containFully)</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    {</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keywordflow">return</span>  <span class="keyword">true</span>;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> X1 = <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>.<a class="code" href="structgbmath_1_1vec2.html#a86ff75c64d87662abfee8c35c5a343d0">x</a>;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> Y1 = <a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>.<a class="code" href="structgbmath_1_1vec2.html#a9212649e2705d2216739fc89763f00b6">y</a>;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> R1 = <a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a>;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> X2 = c2.<a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>.<a class="code" href="structgbmath_1_1vec2.html#a86ff75c64d87662abfee8c35c5a343d0">x</a>;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> Y2 = c2.<a class="code" href="classgbmath_1_1_circle.html#a662e46f01623ce6fa203bc9150cd8db8">center</a>.<a class="code" href="structgbmath_1_1vec2.html#a9212649e2705d2216739fc89763f00b6">y</a>;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> R2 = c2.<a class="code" href="classgbmath_1_1_circle.html#a29a6e116edb47149278a32565d6666d1">radius</a>;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    <span class="keywordtype">float</span> vx=X2-X1;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    <span class="keywordtype">float</span> vy=Y2-Y1;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="keywordtype">float</span> vv=vx*vx+vy*vy;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="keywordflow">if</span>( (R1+R2)*(R1+R2)&lt;vv )</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keywordtype">float</span> a=(R1+R2)*(R1-R2)/2/vv+0.5f;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    <span class="keywordtype">float</span> b=sqrt(R1*R1/vv-a*a);</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    pContact1.<a class="code" href="structgbmath_1_1vec2.html#a86ff75c64d87662abfee8c35c5a343d0">x</a>=X1+a*vx-b*vy;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    pContact1.<a class="code" href="structgbmath_1_1vec2.html#a9212649e2705d2216739fc89763f00b6">y</a>=Y1+a*vy+b*vx;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    pContact2.<a class="code" href="structgbmath_1_1vec2.html#a86ff75c64d87662abfee8c35c5a343d0">x</a>=X1+a*vx+b*vy;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    pContact2.<a class="code" href="structgbmath_1_1vec2.html#a9212649e2705d2216739fc89763f00b6">y</a>=Y1+a*vy-b*vx;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;}</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;}</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160; </div>
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